# COMPARING FRACTIONS WORKSHEET

Problem 1 :

Find which fraction is greater :

6/19  and  16/19

Problem 2 :

Find which fraction is greater :

2/12  and  7/12

Problem 3 :

Find which fraction is greater :

13/34  and  31/34

Problem 4 :

Find which fraction is greater :

37/134  and  33/134

Problem 5 :

Find which fraction is greater :

1/2  and  3/5

Problem 6 :

Find which fraction is greater :

2/10  and  7/12 Problem 1 :

Find which fraction is greater :

6/19  and  16/19

Solution :

Because the denominators of the above fractions are same, we can compare the numerators and decide which fraction is greater as shown below. So,

16/19 is greater than 6/19

Problem 2 :

Find which fraction is greater :

2/12  and  7/12

Solution :

Because the denominators of the fractions are same, we can compare the numerators and decide which fraction is greater.

Comparing the numerators, we get

7 is greater than 2

So,

7/12 is greater than 2/12

Problem 3 :

Find which fraction is greater :

13/34  and  31/34

Solution :

Because the denominators of the fractions are same, we can compare the numerators and decide which fraction is greater.

Comparing the numerators, we get

31 is greater than 13

So ,

31/34 is greater than 13/34

Problem 4 :

Find which fraction is greater :

37/134  and  33/134

Solution :

Because the denominators of the fractions are same, we can compare the numerators and decide which fraction is greater.

Comparing the numerators, we get

37 is greater than 33

So ,

37/134 is greater than 33/134

Problem 5 :

Find which fraction is greater :

1/2  and  3/5

Solution : Here, the denominators are different.

So, we have to find the least common multiple (LCM) of the denominators.

Now, we have to make the denominators of the fractions same using LCM as shown below. Now we can compare the numerators and decide which fraction is greater.

Then, we have

6/10 is greater than 5/10

Hence ,

3/5 is greater than 1/2

Problem 6 :

Find which fraction is greater :

2/10  and  7/12

Solution :

Because the denominators are different, first we have to make the denominators same.

To make the denominator same.  we have find the least common multiple (LCM) of the denominators 10 and 12. Because the LCM is 60, we have to make each denominator as 60 using multiplication as shown below.

2/10  =  (2 ⋅ 6) / (10 ⋅ 6)  =  12/60

7/12  =  (7 ⋅ 5) / (12 ⋅ 5)  =  35/60

In 12/60 and 35/60, the denominator is same.

Now we can compare the numerators and decide which fraction is greater.

Then. we have

35/60 is greater than 12/60

Therefore,

7/12 is greater than 2/10 Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

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